Answer
The tangent and secant functions are undefined.
The other function values are:
$\sin\theta=1$
$\csc\theta=1$
$\cos\theta=0$
$\cot\theta=0$
Work Step by Step
$\sin\theta=1$
$\sin^{2}\theta+\cos^{2}\theta=1^{2}+\cos^{2}\theta=1$
$\implies \cos^{2}\theta=0$ or $\cos\theta=0$
$\csc\theta=\frac{1}{\sin\theta}=\frac{1}{1}=1$
$\sec\theta=\frac{1}{\cos\theta}=\frac{1}{0}$
As denominator vanishes, $\sec\theta$ is undefined.
$\tan\theta=\frac{\sin\theta}{\cos\theta}=\frac{1}{0}$ is also undefined.
$\cot\theta=\frac{\cos\theta}{\sin\theta}=\frac{0}{1}=0$